摘要翻译：
证明了正Kodaira维数半满正则线丛代数流形上的Kahler-Ricci流收敛于其正则模型上唯一的正则度量。本文还证明了在正Kodaira维数的代数流形上存在解析Zariski分解的规范测度。在正则环有限生成的假设下，这种正则测度在双分变换下是唯一的和不变的。
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英文标题：
《Canonical measures and Kahler-Ricci flow》
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作者：
Jian Song, Gang Tian
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最新提交年份：
2008
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分类信息：

一级分类：Mathematics        数学
二级分类：Differential Geometry        微分几何
分类描述：Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis
复形，接触，黎曼，伪黎曼和Finsler几何，相对论，规范理论，整体分析
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一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  We show that the Kahler-Ricci flow on an algebraic manifold of positive Kodaira dimension and semi-ample canonical line bundle converges to a unique canonical metric on its canonical model. It is also shown that there exists a canonical measure of analytic Zariski decomposition on an algebraic manifold of positive Kodaira dimension. Such a canonical measure is unique and invariant under birational transformations under the assumption of the finite generation of canonical rings.
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PDF链接：
https://arxiv.org/pdf/0802.2570